Question

Where are the asymptotes for the following function located?
f (x) = StartFraction 7 Over x squared minus 2 x minus 24 EndFraction
x = –4 and x = 6
x = –4 and x = 7
x = 4 and x = –6
x = 6 and x = 7

Answer 1

late response, but in case you still need help

y = 7/(x^2 - 2x - 24)

denominator factors to (x-6)(x+4). there are vertical asymptotes where the denominator = 0, so setting (x-6)(x+4) = 0 gives us x = 6 and x = -4 as the asymptotes.